Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
polimi-cheatsheet
GitHub Repository: polimi-cheatsheet/GAL-cheatsheet
Path: blob/master/esercizi/1.calcolo-determinante.tex
185 views
1
\subsection{Calcolo del determinante}
2
3
\(
4
\left|
5
\arraycolsep=1.5pt\def\arraystretch{1.0}
6
\begin{array}{cccc}
7
2 & 0 & -2 & 1 \\
8
3 & \circled{1} & 3 & 4 \\
9
-1 & \circled{2} & 0 & 2 \\
10
1 & 0 & 1 & -1 \\
11
\end{array}
12
\right|
13
=
14
1 (-)^4
15
\left|
16
\arraycolsep=2.0pt\def\arraystretch{1.0}
17
\begin{array}{ccc}
18
2 & -2 & 1 \\
19
-1 & 0 & 2 \\
20
1 & 1 & -1 \\
21
\end{array}
22
\right|
23
+ 2 (-)^5
24
\left|
25
\arraycolsep=2.0pt\def\arraystretch{1.0}
26
\begin{array}{ccc}
27
2 & -2 & 1 \\
28
3 & 3 & 4 \\
29
1 & 1 & -1 \\
30
\end{array}
31
\right|
32
=
33
(0-1-4-0+2-4) -2(-6-8+3-3-8-6) = 49
34
\)
35
36